The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Bilender P. Allahverdiev; Hüseyin Tuna; Hamlet A. Isayev

doi:10.2478/amsil-2024-0001

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The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Annales Mathematicae Silesianae

Volume 39 (2025): Issue 1 (March 2025)

By: Bilender P. Allahverdiev, Hüseyin Tuna and Hamlet A. Isayev

Open Access

|Jan 2024

Abstract

In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2024-0001 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 23 - 41

Submitted on: Oct 5, 2023

Accepted on: Jan 3, 2024

Published on: Jan 18, 2024

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

Hahn difference equations,

difference equations with impulses,

spectral function,

resolvent operator

MSC:

39A13,

34A37,

47A10

Related subjects:

Mathematics,

General mathematics

© 2024 Bilender P. Allahverdiev, Hüseyin Tuna, Hamlet A. Isayev, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 39 (2025): Issue 1 (March 2025)